Solve 1%quadg(8)

$$1 \% \quad g ( 8 )$$

Evaluate

$$\frac{2g}{25}$$

Solution Steps

Multiply \frac{1}{100} and 8 to get \frac{8}{100}.

$$\frac{8}{100}g$$

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$\frac{2}{25}g$$

Differentiate w.r.t. g

$$\frac{2}{25} = 0.08$$

Steps Using Definition of a Derivative

Multiply \frac{1}{100} and 8 to get \frac{8}{100}.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{8}{100}g)$$

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{2}{25}g)$$

The derivative of ax^{n} is nax^{n-1}.

$$\frac{2}{25}g^{1-1}$$

Subtract 1 from 1.

$$\frac{2}{25}g^{0}$$

For any term t except 0, t^{0}=1.

$$\frac{2}{25}\times 1$$

For any term t, t\times 1=t and 1t=t.

$$\frac{2}{25}$$